Question

The perimeter of an equilateral triangle is 1/8 unit. What is the length, in units, of each side of the triangle

Answer 1

Answer:

${\longrightarrow \pmb{\sf {\qquad \frac{1}{24} }}}$

$\:$

Step-by-step explanation:

It is given that the perimeter of an equilateral triangle is 1/8 unit and we have to find the length of each side of the triangle.

So, we know that,

$\\ {\longrightarrow \pmb{\sf {\qquad 3a = Perimeter_{(Equilateral triangle) }}}}$

Now, substituting the given values in the formula :

$\\ {\longrightarrow \pmb{\sf {\qquad 3a = \frac{1}{8} }}}$

By doing cross multiplication we get :

${\longrightarrow \pmb{\sf {\qquad 3a(8) = 1(1) }}}$

${\longrightarrow \pmb{\sf {\qquad 24a = 1 }}}$

Dividing both sides by 24 we get :

$\\ {\longrightarrow \pmb{\sf {\qquad \frac{24a}{24} = \frac{1}{24} }}}$

${\longrightarrow \pmb{\sf {\qquad a = \frac{1}{24} }}}$

Therefore,

• The length of each side of the triangle is 1/24 units

Answer 2

The length of each side of the equilateral traingle is 1/24 unit.

Step-by-step explanation:

Given that the perimeter of an equilateral triangle is 1/8 unit. With this information, we are asked to find the length of each side of yhe equilateral traingle.

The perimeter of equilateral traingle is defined as the three times of the length of edge. Mathematically;

→ Perimeter = 3a

By substituting the given values in the formula, we get the following results:

→ 1/8 = 3a

→ a = 1/24

Hence, the length of each side of the equilateral traingle is 1/24 unit.

Additional information:

• A triangle has three sides or edges.
• A triangle has three angles.
• A triangle has three vertices or corners.
• The sum of all internal angles of a triangle is always equal to 180 degrees. This is known as the angle sum property of a triangle.
• The sum of the length of any two sides of a triangle is greater than the length of the third side.
• There are three types of triangle, Scalene Triangle, Isosceles Triangle, Equilateral Triangle.
• Area of triangle = 1/2 * b * h.
• Perimeter of triangle = sum of all sides.